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Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-30
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
We introduce a new system of extended general nonlinear variational inclusions with different nonlinear operators and establish the equivalence between the aforesaid system and the fixed point problem.
By using this equivalent formulation, we prove the existence and uniqueness theorem for solution of the system of extended general nonlinear variational inclusions.
We suggest and analyze a new resolvent iterative algorithm to approximate the unique solution of the system of extended general nonlinear variational inclusions which is a fixed point of a nearly uniformly Lipschitzian mapping.
Subsequently, the convergence analysis of the proposed iterative algorithm under some suitable conditions is considered.
Furthermore, some related works to our main problem are pointed out and discussed.
American Psychological Association (APA)
Petrot, Narin& Balooee, Javad. 2012. Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-481511
Modern Language Association (MLA)
Petrot, Narin& Balooee, Javad. Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems. Abstract and Applied Analysis No. 2012 (2012), pp.1-27.
https://search.emarefa.net/detail/BIM-481511
American Medical Association (AMA)
Petrot, Narin& Balooee, Javad. Algorithms for Solving System of Extended General Variational Inclusions and Fixed Points Problems. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-481511
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481511